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Finding the Fourth Proportional to 613,436.47, 920,342.49 and 314,128.96

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Solution

The fourth proportional to 613,436.47, 920,342.49 and 314,128.96 is: 471,289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,436.47 : 920,342.49 = 314,128.96 : x
  2. Step 2: Convert to fraction form
    613,436.47/920,342.49 = 314,128.96/x
  3. Step 3: Cross multiply
    613,436.47x = 920,342.49 × 314,128.96
  4. Step 4: Simplify right side
    613,436.47x = 289,106,229,227.51
  5. Step 5: Solve for x
    x = 289,106,229,227.51/613,436.47
  6. Step 6: Final answer
    x = 471,289.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.